Question

The angle between the asymptotes of the hyperbola $x^2-3y^2=12$ is

• A. $0^{\circ }$
• B. $60^{\circ }$
• C. $30^{\circ }$
• D. $15^{\circ }$

Answer 1

Answer: (B)

We have $x^2-3y^2=12\Rightarrow \frac{x^2}{12}-\frac{y^2}{4}=1$
Angle between assymptotes is given by $2{\tan }^{-1}\left(\frac{b}{a}\right)=2\times 30^{\circ }=60^{\circ }$